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2645161640 = 2351122771973
BaseRepresentation
bin1001110110101001…
…1111011010101000
320211100100010121122
42131222133122220
520404130133030
61114250554412
7122356334342
oct23552373250
96740303548
102645161640
111138141100
12619a38a08
13332026004
141b143a292
151073518e5
hex9da9f6a8

2645161640 has 96 divisors (see below), whose sum is σ = 6568800840. Its totient is φ = 957918720.

The previous prime is 2645161639. The next prime is 2645161669. The reversal of 2645161640 is 461615462.

It can be written as a sum of positive squares in 4 ways, for example, as 1300179364 + 1344982276 = 36058^2 + 36674^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2645161640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1339694 + ... + 1341666.

Almost surely, 22645161640 is an apocalyptic number.

2645161640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2645161640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284400420).

2645161640 is an abundant number, since it is smaller than the sum of its proper divisors (3923639200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2645161640 is a wasteful number, since it uses less digits than its factorization.

2645161640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2645161640 is about 51431.1349281736. The cubic root of 2645161640 is about 1382.9847948866.

The spelling of 2645161640 in words is "two billion, six hundred forty-five million, one hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 277 440 484 554 605 968 1108 1210 1385 1973 2216 2420 2770 3047 3946 4840 5540 6094 7892 9865 11080 12188 15235 15784 19730 21703 24376 30470 33517 39460 43406 60940 67034 78920 86812 108515 121880 134068 167585 173624 217030 238733 268136 335170 434060 477466 546521 670340 868120 954932 1093042 1193665 1340680 1909864 2186084 2387330 2732605 4372168 4774660 5465210 6011731 9549320 10930420 12023462 21860840 24046924 30058655 48093848 60117310 66129041 120234620 132258082 240469240 264516164 330645205 529032328 661290410 1322580820 2645161640